Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}. O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1) O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)] (03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5) O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 56CR
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Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}.
O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1)
O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)]
(03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5)
O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]
Transcribed Image Text:Use the trapezoidal rule to approximate 12x³ dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}. O (03 +0.25³)(1) + (0.25³ + 1.5³)(1) + (1.53 +2³)(1) O 0.5[(03 + 0.25³) (0.5) + (0.253 +1.5³) (0.5) + (1.53 +23) (0.5)] (03+0.253) (0.25) + (0.253 + 1.5³) (1.25) + (1.53 +2³)(0.5) O 0.5[(03 + 0.25³)(0.25) + (0.253 + 1.5³) (1.25) + (1.53 +23) (0.5)]
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